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Conjugacy classes of series in positive characteristic and Witt vectors.

Sandrine Jean — 2009

Journal de Théorie des Nombres de Bordeaux

Let $k$ be the algebraic closure of $𝔽_{p}$ and $K$ be the local field of formal power series with coefficients in $k$ . The aim of this paper is the description of the set $𝒴_{n}$ of conjugacy classes of series of order $p^{n}$ for the composition law. This work is concerned with the formal power series with coefficients in a field of characteristic $p$ which are invertible and of finite order $p^{n}$ for the composition law. In order to investigate Oort’s conjecture, I give a description of conjugacy classes of series by means...

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